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Finding the Third Proportional to 200,099.11 and 308,458.13

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Solution

The third proportional to 200,099.11 and 308,458.13 is: 475,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,099.11 : 308,458.13 = 308,458.13 : x
  2. Step 2: Convert to fraction form
    200,099.11/308,458.13 = 308,458.13/x
  3. Step 3: Cross multiply
    200,099.11x = 308,458.13 × 308,458.13
  4. Step 4: Simplify right side
    200,099.11x = 95,146,414,878.52
  5. Step 5: Solve for x
    x = 95,146,414,878.52/200,099.11
  6. Step 6: Final answer
    x = 475,496.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.